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Finding the Third Proportional to 56,384 and 120,542

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Solution

The third proportional to 56,384 and 120,542 is: 257,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,384 : 120,542 = 120,542 : x
  2. Step 2: Convert to fraction form
    56,384/120,542 = 120,542/x
  3. Step 3: Cross multiply
    56,384x = 120,542 × 120,542
  4. Step 4: Simplify right side
    56,384x = 14,530,373,764
  5. Step 5: Solve for x
    x = 14,530,373,764/56,384
  6. Step 6: Final answer
    x = 257,703.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.